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Theorem gencbvex2 2991
 Description: Restatement of gencbvex 2990 with weaker hypotheses. (Contributed by Jeffrey Hankins, 6-Dec-2006.)
Hypotheses
Ref Expression
gencbvex2.1
gencbvex2.2
gencbvex2.3
gencbvex2.4
Assertion
Ref Expression
gencbvex2
Distinct variable groups:   ,   ,   ,   ,   ,
Allowed substitution hints:   ()   ()   ()   ()   ()

Proof of Theorem gencbvex2
StepHypRef Expression
1 gencbvex2.1 . 2
2 gencbvex2.2 . 2
3 gencbvex2.3 . 2
4 gencbvex2.4 . . 3
53biimpac 473 . . . 4
65exlimiv 1644 . . 3
74, 6impbii 181 . 2
81, 2, 3, 7gencbvex 2990 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177   wa 359  wex 1550   wceq 1652   wcel 1725  cvv 2948 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-ext 2416 This theorem depends on definitions:  df-bi 178  df-an 361  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2422  df-cleq 2428  df-clel 2431  df-v 2950
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